Abstract
In this paper, the problem of a geosynchronous artificial satellite orbiting near the critical inclination is investigated. At the critical inclination the secular J 2 effect in the argument of perigee is zero. This allows the apogee to be stabilized above the desired (e.g. northern European) coverage area by adjusting other orbital elements, thus providing a greatly enhanced coverage of the target regions. Apart from the improved visibility from high-latitude-regions, highly inclined orbits are becoming attractive due to the increasing collision hazard of geostationary satellites with debris and de-activated spacecrafts which “pollute” the relatively confined geostationary ring.
Reaearch Assisitant for the Belgian National Fund for Scientific Reaearch
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brouwer, D.: 1959, ‘Solution of the Problem of Artificial Satellite Theory without Drag’, Astron. J, 64378–397.
Delhaise, F: 1989, ‘Geopotential Perturbations of the Tundra and Molniya Orbits’, ESA MAS Working Paper, 288
Giacaglia, G. E.: 1976, ‘A Note on the Inclination Functions of the Satellite Theory’, Celest. Mech., 13503–509.
Garfinkel, B.: 1959, ‘The orbit of a Satellite of an Oblate Planet’, Astron. J,64 353
Jupp, A.H.: 1988, ‘The Critical Inclination Problem - 30 Years of Progress’, Celest. Mech., 43 127–138.
Henrard, J.: 1990, ‘A Semi-Numerical Perturbation Method for Separable Hamiltonian systems’, Celest. Mech., 49 43–67.
Kozai, Y.: 1959, ‘The Motion of a Close Earth Satellite’, Astron. J, 64 367–377.
Lecohier, G., Guermonprez, V. and Delhaise, F.: 1989, ‘European Molniya and Tundra Orbit Control’, CNES, Mécanique Spatiale, Symposium International en Mécanique Spatiale, Toulouse (France), 165–191.
Moser, J.: 1958, ‘New Aspects in the Theory of Stability of Hamiltonian Systems’, Comm. Pure App. Math., XI, 81–114.
Sochilina, A.S.: 1982, ‘On the Motion of a Satellite in Resonance with its Rotating Planet’, Celest Mech, 26 337–352.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Delhaise, F., Henrard, J. (1993). The Problem of Critical Inclination Combined with a Resonance in Mean Motion in Artificial Satellite Theory. In: Dvorak, R., Henrard, J. (eds) Qualitative and Quantitative Behaviour of Planetary Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2030-2_25
Download citation
DOI: https://doi.org/10.1007/978-94-011-2030-2_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4898-9
Online ISBN: 978-94-011-2030-2
eBook Packages: Springer Book Archive